Stochastic Ordering and Reliability Analysis of Inactivity Lifetime with a Cold Standby

SYNOPTIC ABSTRACT

The article discusses truncated inactivity lifetimes for systems with cold standby units. The most common bivariate lifetime distribution was used to clarify these systems. The essay concentrates on the Farlie-Gumbel-Morgenstern family for building a dependence structure between components and to study the properties of suggested systems. The article also compares systems with independent identically distributed components and dependent identically distributed components having the same survival function by using various stochastic orders. Moreover, some applications of the theoretical results of reliability theory are studied.

KEY WORDS AND PHRASES:

• Stochastic orders
• cold standby
• distribution copula
• inactivity lifetimes

Acknowledgements

The author is deeply thankful to the editor and reviewers for their time and efforts.